Operations on Finite Settings: from Triangular Norms to Copulas

Gaspar Mayor (), Jaume Suñer () and Joan Torrens ()
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Gaspar Mayor: Universitat de les Illes Balears, Department of Mathematics and Computer Science
Jaume Suñer: Universitat de les Illes Balears, Department of Mathematics and Computer Science
Joan Torrens: Universitat de les Illes Balears, Department of Mathematics and Computer Science

Chapter Chapter 10 in Copulas and Dependence Models with Applications, 2017, pp 157-170 from Springer

Abstract: Abstract Operations defined on finite chains, usually known as discrete operations, have become a topic of increasing interest because of their applications in many fields. In this paper, we recall two of the main families of discrete operations: discrete t-norms with applications in fuzzy logic, approximate reasoning and computing with words, and discrete copulas with applications in probability, statistics and economy. For both kinds of operations, we emphasize their main properties, their structure and characterization. We also devote some part of the work to highlight the importance of these discrete operations and their impact in the mentioned fields.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-64221-5_10

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DOI: 10.1007/978-3-319-64221-5_10

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